0. Review of College Algebra

Find the difference. Express your answer in standard form.

$\(\left\)(2+8i\(\right\))-\(\left\)(4-i\(\right\))$

Identify the real and imaginary parts of each complex number.

$-4-9i$

Use a number line to determine whether each statement is true or false. -4 > -3

In Exercises 29–36, simplify and write the result in standard form.

√−196

Find the product of the given complex number and its conjugate.

$4-5i$

Find the product of the given complex number and its conjugate.

$-7-i$

Suppose point A on the complex plane represents the complex number $3+4i$. Which of the following operations involving complex numbers results in a solution represented by point A?

In which quadrant is the complex number $6-8i$ located on the complex plane?

Rewrite each statement with > so that it uses < instead. Rewrite each statement with < so that it uses >. -5 > -100

In Exercises 37–52, perform the indicated operations and write the result in standard form. ___ −8 + √−32 / 24

Simplify each inequality if needed. Then determine whether the statement is true or false. -|-3| ≥ -3

In Exercises 9–20, find each product and write the result in standard form.

(3 + 5i)(3 − 5i)

Find the sum. Express your answer in standard form.

$5\(\left\)(4+7i\(\right\))+6\(\left\)(3-2i\(\right\))$

Simplify each inequality if needed. Then determine whether the statement is true or false. -6 < 7 + 3

In Exercises 37–52, perform the indicated operations and write the result in standard form. __ (−2 + √−4)²